Modelling - Creating Tripod Object
Here are some methods for a 4 studs shape:

First method (Boolean):


Create a cylinder (12 vertices), put its origin to its bottom.
Duplicate it with a shiftDenter.
Rotate the copy 120° (or whatever angle you need) on the Y axis.
Duplicate the second cylinder and rotate it 120° on the Z axis.
Again create a fourth cylinder and rotate it 120°.
Now use some Boolean modifiers to merge these 4 cylinder.
Remove doubles to make the final object clean. You should not have any vertices inside your mesh but if it happened just delete them.




Second method (non-Boolean):

1 - Create a cône of 3 vertices, Radius > 1, Depth > 1.5, it gives a 4 faces pyramid

2 - In Edit mode, select all the vertices, and bevel them with ctrl shift B

3 - Select the 4 hexagons of the shape

4 - Extrude the hexagons with alt E > Individual Faces

5 - You have a basic 4 studs shape

You can add a Subdivision Surface modifier, you can make each end round with W > Loop Tools > Circle, you can add Edge Loops, etc...



Third method (better non-Boolean):

1 - Create a cône of 3 vertices, Radius > 1, Depth > 1.5, it gives a 4 faces pyramid

2 - Subdivide each angle of the pyramid

3 - Select all the new vertices and scale up so that you have some kind of regular hexagons on each 4 faces of the shape

4 - Select all the faces and alt E > Extrude Individual

5 - Keep the end of each extrusion selected and W > Loop Tools > Circle

6 - You can add a Subdivision Surface modifier, can add Edge Loops, etc...